[問題] 微積分2

看板ck55th329作者 (就決定叫你小微了)時間21年前 (2003/09/23 22:31), 編輯推噓121(121推 0噓 0→)
留言121則, 4人參與, 最新討論串1/2 (看更多)
就是今天我們物理老師說到一個微分方程啊 dv/dt+bv/m=g 要怎麼解呢? 這是物體在落下時算他的終端速度的那個式子 抗力是bv 會隨著v的大小而變 答案把它代進去是合啦 可是要怎麼解呢? 她又說到如果抗力變成t的二次式會更難解 還有 初等微積分跟高等微積分是差在哪裡? -- 一個人當然很好，這我知道；而別人呢？ 就像一個又一個撲朔迷離的世界。 ~ -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 61.231.216.226
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推 210.68.248.158 09/23, , 1F
沒有公定的"差別"吧.
推 210.68.248.158 09/23, 1F
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推 61.231.216.226 09/23, , 2F
只是比較難而已喔
推 61.231.216.226 09/23, 2F
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推 210.68.248.158 09/23, , 3F
看老師怎麼教阿~
推 210.68.248.158 09/23, 3F
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推 61.231.216.226 09/23, , 4F
普物在上微積分 微積分在上函數
推 61.231.216.226 09/23, 4F
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推 61.231.216.226 09/23, , 5F
可是不是有堂課叫高等微積分嗎?
推 61.231.216.226 09/23, 5F
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推 210.68.248.158 09/23, , 6F
這就是人生啦~
推 210.68.248.158 09/23, 6F
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推 210.68.248.158 09/23, , 7F
就跟你說了看老師爽教什麼阿~
推 210.68.248.158 09/23, 7F
※ 編輯: headfoliate 來自: 61.231.216.226 (09/23 22:46)
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推 61.231.216.226 09/23, , 8F
老爹每次都隱形 找都找不到他
推 61.231.216.226 09/23, 8F
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推 61.217.210.132 09/23, , 9F
非常抱歉
推 61.217.210.132 09/23, 9F
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推 61.231.216.226 09/23, , 10F
微分方程要怎樣解啦
推 61.231.216.226 09/23, 10F
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推 61.231.216.226 09/23, , 11F
可以推到九個以上喔
推 61.231.216.226 09/23, 11F
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推 61.217.210.132 09/23, , 12F
恩
推 61.217.210.132 09/23, 12F
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推 61.217.210.132 09/23, , 13F
超過99個好像是--
推 61.217.210.132 09/23, 13F
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推 61.217.210.132 09/23, , 14F
還有我看不太懂你的問題這樣
推 61.217.210.132 09/23, 14F
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推 61.231.216.226 09/23, , 15F
哪裡看不懂?
推 61.231.216.226 09/23, 15F
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推 61.217.210.132 09/23, , 16F
你要解啥?
推 61.217.210.132 09/23, 16F
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推 61.231.216.226 09/23, , 17F
就是v和t的函數關係
推 61.231.216.226 09/23, 17F
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推 61.231.216.226 09/23, , 18F
老爹你還在嗎?
推 61.231.216.226 09/23, 18F
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推 61.217.210.132 09/23, , 19F
在
推 61.217.210.132 09/23, 19F
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推 61.217.210.132 09/23, , 20F
學藝未精,不能立即解決你的問題,實為抱歉
推 61.217.210.132 09/23, 20F
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推 61.231.216.226 09/23, , 21F
不要隱形啦 以後規定隱形者不能PO文章好了
推 61.231.216.226 09/23, 21F
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推 61.217.210.132 09/23, , 22F
嘖
推 61.217.210.132 09/23, 22F
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推 61.231.216.226 09/23, , 23F
答案是跟e的什麼次方有關
推 61.231.216.226 09/23, 23F
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推 61.228.80.24 09/23, , 24F
自然對數.....老爹上吧!
推 61.228.80.24 09/23, 24F
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推 61.217.210.132 09/23, , 25F
拼了!
推 61.217.210.132 09/23, 25F
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推 61.231.216.226 09/23, , 26F
微分方程什麼時候會教啊
推 61.231.216.226 09/23, 26F
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推 61.217.210.132 09/23, , 27F
阿災,我們還在教極限
推 61.217.210.132 09/23, 27F
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推 210.68.248.158 09/23, , 28F
我們還在教反函數
推 210.68.248.158 09/23, 28F
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推 210.68.248.158 09/23, , 29F
大概微乙比較弱吧
推 210.68.248.158 09/23, 29F
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推 61.231.216.226 09/23, , 30F
還有分甲乙喔
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推 210.68.248.158 09/23, , 31F
台大是高甲乙
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推 61.217.210.132 09/23, , 32F
其實是優甲乙這樣
推 61.217.210.132 09/23, 32F
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推 61.217.210.132 09/23, , 33F
要先修甲才能修高
推 61.217.210.132 09/23, 33F
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推 61.231.216.226 09/23, , 34F
那乙呢?以後就不用修了
推 61.231.216.226 09/23, 34F
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推 210.68.248.158 09/23, , 35F
其實不是，優是今年才有的，跟高兩回事
推 210.68.248.158 09/23, 35F
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推 210.68.248.158 09/23, , 36F
乙是給我這種廢物修的
推 210.68.248.158 09/23, 36F
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推 61.217.210.132 09/23, , 37F
歐
推 61.217.210.132 09/23, 37F
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推 61.231.216.226 09/23, , 38F
優是什麼?
推 61.231.216.226 09/23, 38F
還有 43 則推文
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推 61.228.23.170 09/25, , 82F
看你e的什麼次方要怎麼打
推 61.228.23.170 09/25, 82F
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推 61.228.23.170 09/25, , 83F
s 1/g-bv/m dv =s dt =t 這個我看不懂
推 61.228.23.170 09/25, 83F
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推 61.217.216.211 09/25, , 84F
恩
推 61.217.216.211 09/25, 84F
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推 61.217.216.211 09/25, , 85F
s 1/[g-(bv/m)] dv 加了括號比較清楚這樣
推 61.217.216.211 09/25, 85F
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推 61.228.23.170 09/25, , 86F
這差很多ㄟ
推 61.228.23.170 09/25, 86F
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推 61.217.216.211 09/25, , 87F
結果是v(t)=[1-ce^(-bt/m)]mg/b
推 61.217.216.211 09/25, 87F
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推 61.217.216.211 09/25, , 88F
恩,沒辦法修改這樣
推 61.217.216.211 09/25, 88F
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推 61.228.23.170 09/25, , 89F
可以兩邊一起積嗎?分別對v和t耶
推 61.228.23.170 09/25, 89F
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推 61.228.23.170 09/25, , 90F
還有v的那邊怎麼積?
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推 61.217.216.211 09/25, , 91F
用dlnx/dx=1/x
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推 61.217.216.211 09/25, , 92F
dv,dt看作微量,若相等,積起來也一樣
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推 61.217.216.211 09/25, , 93F
微分方程應該會提到比較詳細的說明
推 61.217.216.211 09/25, 93F
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推 61.228.23.170 09/25, , 94F
鎖鏈率在積回去的時候就不會用了
推 61.228.23.170 09/25, 94F
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推 61.228.23.170 09/25, , 95F
dln(g-bv/m)/d(g-bv/m)=1/(g-bv/m)然後呢?
推 61.228.23.170 09/25, 95F
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推 61.217.216.211 09/25, , 96F
乘個d(g-bv/m)/dv
推 61.217.216.211 09/25, 96F
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推 61.228.23.170 09/25, , 97F
s dt=t? 什麼都沒有怎麼積?
推 61.228.23.170 09/25, 97F
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推 61.217.216.211 09/25, , 98F
有"1"阿
推 61.217.216.211 09/25, 98F
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推 61.217.216.211 09/25, , 99F
其實也可以說是積那個dt
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推 61.228.23.170 09/25, , 100F
dt/dt=1 應該是s 1 dt=t
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推 61.217.216.211 09/25, , 101F
大概吧
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推 61.228.23.170 09/25, , 102F
s dt dt? 這是什麼玩意兒?
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推 61.217.216.211 09/25, , 103F
是指s dt這樣
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推 61.228.23.170 09/25, , 104F
積dt是什麼意思?
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推 61.217.216.211 09/25, , 105F
應該沒有s dt dt這樣寫的這樣
推 61.217.216.211 09/25, 105F
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推 61.217.216.211 09/25, , 106F
dt看作t的分割,積起來就是t了
推 61.217.216.211 09/25, 106F
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推 61.228.23.170 09/25, , 107F
不懂阿............
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推 61.217.216.211 09/25, , 108F
不知道是不是旁門左道
推 61.217.216.211 09/25, 108F
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推 61.217.216.211 09/25, , 109F
看一下差合分,和微積分比較一下
推 61.217.216.211 09/25, 109F
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推 61.228.23.170 09/25, , 110F
我是說dln(g-bv/m)/dv=b/(bv-mg)要怎麼用?
推 61.228.23.170 09/25, 110F
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推 61.217.216.211 09/25, , 111F
話說微優目前就在教差合分這樣
推 61.217.216.211 09/25, 111F
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推 61.228.23.170 09/25, , 112F
差合分是個啥?
推 61.228.23.170 09/25, 112F
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推 61.217.216.211 09/25, , 113F
寫成這樣dln(g-bv/m)/dv=-b/m[g-(bv/m)]
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推 61.217.216.211 09/25, , 114F
d-(m/b)ln(g-bv/m)/dv=1/[g-(bv/m)]
推 61.217.216.211 09/25, 114F
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推 61.217.216.211 09/25, , 115F
-(m/b)ln(g-bv/m) +c=s 1/[g-(bv/m)] dv
推 61.217.216.211 09/25, 115F
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推 61.228.23.170 09/25, , 116F
And then?
推 61.228.23.170 09/25, 116F
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推 61.217.216.211 09/25, , 117F
-(m/b)ln(g-bv/m) +c=t
推 61.217.216.211 09/25, 117F
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推 61.217.216.211 09/25, , 118F
之後就看你喜歡e還是ln這樣
推 61.217.216.211 09/25, 118F
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推 61.228.23.170 09/25, , 119F
誰想的到這種鬼啊！
推 61.228.23.170 09/25, 119F
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推 61.217.216.211 09/25, , 120F
阿災
推 61.217.216.211 09/25, 120F
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推 61.228.23.170 09/25, , 121F
我把他整理一下好了
推 61.228.23.170 09/25, 121F
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[問題] 微積分2 微積分2
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21年前, 09/23
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